Answers
Answer:
60
Step-by-step explanation:
If we look at the picture, we can see that its a right angle having a 90 degree.
We can make a equation with this as we know that m1 and m2 has to equal 90
x + y = 90
Since we know that m2 = 30 we can plug 30 for x
(30) + y = 90
Now we simply moving the 30 to the 90
y = 90 - 30
y = 60
Related Questions
is this correct if not whats the answer
Answers
Answer:
That answer is correct, when you do a survey, you pick people at random! So your answer is correct. :) If you have any more questions feel free to ask me. ^-^
A box is in the shape of an equilateral triangular prism. if the box is to be covered with paper on its lateral sides, how many square inches of paper are needed?
Answers
The total surface area of the triangular prism that has a height of h and the side length of a is given below.
[tex]\rm a(\dfrac{\sqrt3}{2} \ a + 3h)[/tex]
What is a triangular prism?A triangular prism is a closed solid that has two parallel triangular bases connected by a rectangle surface.
A box is in the shape of an equilateral triangular prism.
If the box is to be covered with paper on its lateral sides.
Let a be the side length of the equilateral triangle and h be the height of the prism.
Then the surface area of the triangular prism will be
Surface area = 2 × area of triangle + 3 × area of the rectangle
The area of the triangle will be
[tex]\rm Area\ of\ triangle = \dfrac{\sqrt{3}a^2}{4}[/tex]
The area of the rectangle will be
[tex]\rm Area \ of \ rectangle = a \ h[/tex]
Then the total surface area will be
[tex]\rm Surface\ area = 2 \times \dfrac{\sqrt3 a^2 }{4} + 3 ah\\\\\\Surface\ area = a(\dfrac{\sqrt3}{2} \ a + 3h)[/tex]
More about the triangular prism link is given below.
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Answer:
72 square inches
Step-by-step explanation:
Need Help! Given the drawing, what would the value of x need to be in order for it to be true that m || n ?
Answers
Answer:
13
Step-by-step explanation:
The theorem is that for a line bisecting two parallel lines, the oposite angles are equal. Hence, you can formulate the equation 4x+18 = 7x-21, which solves to 13.
Find a general formula for the nth term of the geometric series with
Answers
Answer:I think it would be the third one
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Can someone help me pls
Answers
Answer:
The angle of KLM is 50°
Step-by-step explanation:
Used protractor
Answer:
∠ KLM ≈ 33.7°
Step-by-step explanation:
using Pythagoras' identity in right triangle JKM
KM² = JK² + JM² = 7² + 4.5² = 49 + 20.25 = 69.25 ( take square root of both sides )
KM = [tex]\sqrt{69.25}[/tex] ≈ 8.322 cm
using the sine ratio in right triangle KLM
sin KLM = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{KM}{LM}[/tex] = [tex]\frac{8.322}{15}[/tex] , then
∠ KLM = [tex]sin^{-1}[/tex] ( [tex]\frac{8.322}{15}[/tex] ) ≈ 33.7° ( to 3 significant figures )
Which statement describes the behavior of the function f (x) = StartFraction 2 x Over 1 minus x squared EndFraction?.
Answers
As x tends to infinity the function [tex]f(x) = \frac{2x}{1-x^{2} }[/tex] approaches zero.
Given function is:
[tex]f(x) = \frac{2x}{1-x^{2} }[/tex]
What is a function?A function f(x) is a rule which relates two variables where x and y are independent and dependent variables.
Divide the numerator and denominator of the given function by x.
[tex]f(x) = \frac{2}{\frac{1}{x} -x}[/tex]
[tex]\lim_{x \to \infty} f(x) \\\\\lim_{x \to \infty} \frac{2}{\frac{1}{x} -x}[/tex]
As we know that as x approaches the infinity 1/x approaches 0.
So, [tex]\\\\\lim_{x \to \infty} \frac{2}{\frac{1}{x} -x} = \lim_{x \to \infty} \frac{2}{-x}[/tex]
[tex]\lim_{x \to \infty} \frac{-2}{x} =0[/tex]
Therefore, as x tends to infinity the function [tex]f(x) = \frac{2x}{1-x^{2} }[/tex] approaches zero.
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Jake is saving for a new tablet. It costs $250, and he has $100. He earns $5 per week for doing chores. Jake wants to figure out how many weeks it will take for him to have at least enough money to buy a new tablet. Write an inequality and solve it to determine the number of weeks it will take.
Answers
Answer: 250 ≤ 100+5x
150≤5x divide by 5
30≤x
It will take 30 weeks to earn enough.
Step-by-step explanation:
Solve this linear system using determinants:
2x + 3y = 6
- 8x - 3y = 12
A=
Az =
[Ayl =
Answers
2×+3y=6
-8×-3y=12
-6×=18
×=18/-6
×=-3
——————
2×+3y=6
2(3)+3y=6
6+3y=6
3y=6-6
3y=0
Y=0/3
Y=0
——————
×=3
Y=0
————
2×+3y=6
2(3)+3(0)=6
6=6
xLasersx✨write these polynomials in standard form
1). 5x^2- 15+7
2.) 4 + 8n- 3n^4＋ 10n2
Answers
Answer:
1. [tex]5x^{2} - 8[/tex]
2. [tex]NaN-16[/tex]
Step-by-step explanation:
If 1/10 of a scarf is knit in 48 minutes.what fraction of a scarf is knit in 1 hour
Answers
Answer:
1/8
Step-by-step explanation:
i believe this is the answer
the restaurant is 7.5 feet high and 22 feet long. find the volume of a cone restaurant
Answers
Answer:
950.331ft^3
Step-by-step explanation:
I hope this is correct...
I believe 22ft would be the diameter of thr circle so to find the radius you divide it by 2 and follow the formula like so.
A spinner contains four sections: red, blue, green, and yellow. Joaquin spins the spinner twice. The set of outcomes is given as S = {RB, RG, RY, RR, BR, BG, BY, BB, GR, GB, GY, GG, YR, YB, YG, YY}. If the random variable is "yellow (Y)," which of the following is the correct probability distribution? A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0. 5625, 0. 375, 0. 625. A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0. 75, 0. 25, 0. A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0. 5, 0. 375, 0. 125. A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0. 5, 0. 25, 0. 25.
Answers
The correct probability distribution of the random variable tracking "yellow (Y)" color is given by: Option A:
Yellow:x Probability
0 9/16 = 0.5625
1 6/16 = 0.375
2 1/16 = 0.0625
What is probability distribution?Probability distribution of a random variable is the collection of value and its probability pair for values of that considered random variable.
It might be a function, a table etc.
How to calculate the probability of an event?Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]
where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
For this case, the experiment consists of a spinner with four color sections, and is spun twice.
The sample space is:
S = {RB, RG, RY, RR, BR, BG, BY, BB, GR, GB, GY, GG, YR, YB, YG, YY}
Let we take:
X = the number of times out of two spins the color yellow occurs in a pair of spin of the considered spinner.
Then, as there are only two spin going to happen, so the values X can take are:
X = 0 (no yellow color in both spin)X = 1 (one of the spin ended up yellow, and other doesn't)X = 2 (both the spins resulted in yellow color).Let we take:
A = event that in first spin of the considered spinner, color yellow occurs.B = event that in second spin of the considered spinner, color yellow occurs.Then, as there are four colors equally likely, so we get:
P(A) = 1/4 (yellow color can occur in 1 way in one spin, and total number of colors that can occur = 4).
Similarly, we get P(B) = 1/4
Also, as first and second spins are independent of each other's result, so both A and B are independent events.
Getting the probabilities for each value of X:
Case 1: X = 0[tex]P(X = 0) = P(A' \cap B') = P(A')P(B') = (1-P(A))(1-P(B)) \\P(X = 0) = \dfrac{3}{4} \times \dfrac{3}{4}\\\\P(X = 0) = \dfrac{9}{16}[/tex]
(where A' and B' are complement of A and B, and as (A and B) are independent, so as (A' and B') and (A' and B) and (A and B') )
Case 2: X = 1So either first spin had yellow color, or second, so we get:
[tex]P(X = 1) = P((A' \cap B) \cup (A \cap B'))\\ P(X=1) = P(A' \cap B) + P(A \cap B') - P((A' \cap B) \cap (A \cap B'))\\P(X=1) = P(A')P(B) + P(A)P(B') -0\\P(X=1) = \dfrac{3}{4} \times \dfrac{1}{4} + \dfrac{1}{4} \times \dfrac{3}{4} - 0\\\\P(X = 1) = \dfrac{6}{16}[/tex]
Case 3: X = 2Both event A and B occured this time, so we get:
[tex]P(X = 2) = P(A \cap B) = P(A)P(B) \\P(X = 0) = \dfrac{1}{4} \times \dfrac{1}{4}\\\\P(X = 0) = \dfrac{1}{16}[/tex]
Thus, the probability distribution of X is:
X=x P(X = x)
0 9/16 = 0.5625
1 6/16 = 0.375
2 1/16 = 0.0625
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how do i get my math grade up
Answers
Answer:
just practice alot . .. ...........
Answer:
you could do all your work and try to ask the teacher for help
Step-by-step explanation:
what is the area of a triangle with a base with a length of 3 1/2 inches and a height of 3 inches
Answers
Answer: 5.25 square inches
Step-by-step explanation:
A=(1/2)bh=(1/2)(3.5)(3)=5.25
which is the largest living thing?
Answers
Find the value of x.
Answers
Answer:
38
Step-by-step explanation: subtraction:
Input interpretation: x: 105-67=
Ratio in lowest terms: 38
Division:
105/67= 1.56...=1 38/67---1R 38= 1 with the remainder of 38. So just 38.
The value of the variable 'x' using the exterior angle theorem will be 38°. Then the correct option is A.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The exterior angle of a triangle is almost always equal to the addition of the interior and opposing interior angles. The term "external angle property" refers to this feature.
By the above theorem, the equation is written as,
x + 67 = 107
Simplify the equation, then we have
x + 67 = 105
x = 105 - 67
x = 38°
The value of the variable 'x' using the exterior angle theorem will be 38°. Then the correct option is A.
More about the triangle link is given below.
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To get your car repaired at a certain dealership in Woodstock, the rate charged is $90 per hour worked on your car, plus a $50 diagnostic fee.
1) Create an equation to find the (C)harge to fix the car:
2) If your car was worked on for 4.6 hours what would be the total charge?
3) If the total cost was $800, how many hours was the car in the shop?
Answers
H- hours
D- diagnostic fee
C= #H(90)+ D
C= 4.6(90)+50
=414+50
=$464
C-$800
H-?
D-50
C= #H(90)+50
800=H(90)+50
H(90)=800-50
H(90)=750
H(90)/90=750/90
H=750/90
H= 8.33333333
A farmer plans to build the small silo shown to store chicken feed. What is the circumference of the base of the silo if it can hold a maximum of 132 cubic feet of feed?
Answers
The circumference of the base of the silo that can hold a maximum of 132 cubic feet of feed is approximately 28.796 feet.
How to determine the circumference of the base of a silo
The circumference is the measure of the contour of a circle. In this question we have to determine the radio of the base of the cone from the volume formula and later the circumference is found by this finding:
Volume
V = (π/3) · R² · h (1)
Circumference
s = 2π · R (2)
Where:
R - Radius of the base, in feeth - Height of the silo, in feetIf we know that V = 132 ft³, h = 6 ft, then the circumference that can hold the given capacity is:
[tex]R = \sqrt{\frac{3\cdot V}{\pi \cdot h} }[/tex]
[tex]R = \sqrt{\frac{3\cdot (132\,ft^{3})}{\pi\cdot (6\,ft)} }[/tex]
R ≈ 4.583 ft
s = 2π · (4.583 ft)
s ≈ 28.796 ft
The circumference of the base of the silo that can hold a maximum of 132 cubic feet of feed is approximately 28.796 feet. [tex]\blacksquare[/tex]
RemarkThe statement is complete, complete form is introduced below:
A farmer plans to buid the small silo to store chicken feed. The silo is a cone with a height of 6 feet. What is the circumference of the base of the silo if it can hold a maximum of 132 cubic feet of feed?
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Tanner made his father a quilt. The width is 6 5 /7 meters by 7 3/ 5 meters what is the area of the quilt?
Answers
Answer:
51.0285714…
Step-by-step explanation:
you just multiply them together.
Answer:
Step-by-step explanation:
→ Multiply the 2 lengths together
[tex]6\frac{5}{7} *7\frac{3}{5}[/tex]
→ Convert both to improper
[tex]\frac{47}{7} *\frac{38}{5}[/tex]
→ Multiply
[tex]\frac{1786}{35}[/tex]
→ Convert to mixed fraction
[tex]51\frac{1}{35}[/tex]
Given this regular pentagon and the side measurement of 6, find
the length of the apothem. round your answer to the nearest
hundredths.
Answers
The length of apothem for a regular pentagon and the sidemeasurement of 6 is 4.13 unit
What is apothem?
Apothemis a line segment from the center to the midpoint of one of the sides of a regular polygon .
The length of apothem (a) is given by:
[tex]a=\frac{s}{2*tan(\frac{180}{n} )} \\\\Where\ n\ is\ number\ of\ sides\ and\ s=side\ length\\\\Given:\\n=5,s=6, hence:\\\\a=\frac{6}{2*tan(\frac{180}{5} )}=4.13[/tex]
The length of apothem for a regular pentagon and the sidemeasurement of 6 is 4.13 unit
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Please Help! will Give Brainlest!
Answers
Answer:
tan ¤ = opp/adj
tan ¤ = 20/50
since opposite of the angle is 20, height of the tree is 20 feet.
Ans : D
Answer:
height : 20distance : 50Explanation:
[tex]\sf tan(x)= \dfrac{opposite}{adjacent}[/tex]
[tex]\hookrightarrow \sf tan(x)= \dfrac{20}{50}[/tex]
using the equation, we can identify that ↓opposite ( the height of the tree ) is 20adjacent ( the distance ) is 50An angle measures 66° more than the measure of its supplementary angle. What is the measure of each angle?
A=
B=
Answers
Bronson earns $625 per week at his job. How much does he earn annually?
please help
Answers
please help !
what is the probability of the complement of event A ?
Answers
Answer:
[tex]P(A < 84)=\frac{4}{7}[/tex]
Step-by-step explanation:
[tex]Total\ numbers:\ 7\\Numbers\ less\ than\ 84:\ 4\\\\P(A < 84)=\frac{4}{7}[/tex]
What is the answer to how many 1/2 are in 3 1/2?
Answers
The two conditional relative frequency tables below show the results of a survey asking students whether they are taking a foreign language or not.
A 4-column table with 3 rows. The first column has no label with entries middle school, high school, total. The second column is labeled taking a foreign language with entries 0.34, 0.66, 1.0. The third column is labeled not taking a foreign language with entries 0.64, 0.36, 1.0. The fourth column is labeled total with entries 0.4, 0.6, 1.0.
Table B: Frequency of Foreign-Language Studies by Row
A 4-column table with 3 rows. The first column has no label with entries middle school, high school, total. The second column is labeled taking a foreign language with entries 0.68, 0.88, 0.8. The third column is labeled not taking a foreign language with entries 0.32, 0.12, 0.2. The fourth column is labeled total with entries 1.0, 1.0, 1.0.
Which table could be used to answer the question "Assuming a student is taking a foreign language, what is the probability the student is also in high school?”
Table A, because the given condition is that the student is in high school.
Table A, because the given condition is that the student is taking a foreign language.
Table B, because the given condition is that the student is in high school.
Table B, because the given condition is that the student is taking a foreign language
Answers
Answer:
B: Frequency of Foreign-Language Studies by Row
Please show the steps as well.
Answers
Answer:
x = 4Step-by-step explanation:
Rewrite the equation as
[tex]2^{x -1}=8\\[/tex][tex]2^{x -1}=2^3[/tex]Powers are equal if bases are same
[tex]x -1=3[/tex][tex]x=3+1[/tex][tex]x=4[/tex]~Hello! I will try to help you!
[tex] \Rightarrow \sf {2}^{x - 1} = 8[/tex]
»Convert the number 8 to a power of 2, then:-
[tex] \Rightarrow \sf {2}^{x - 1} = {2}^{3} [/tex]
»Because the bases on the right and left are the same, we will cross out the bases to produce a linear equation.
[tex] \Rightarrow \sf \cancel2 {}^{x - 1} = { \cancel2}^{3} [/tex]
»Let's find the value of x in the above equation!
[tex] \Rightarrow \sf x - 1 = 3 \\ \Rightarrow \sf x = 3 + 1 \\ \Rightarrow \bf x = 4[/tex]
With this it's done!
Which expression represents the correct form for the quotient and remainder, written as partial fractions, of StartFraction 7 x squared minus 40 x + 52 Over x squared minus 6 x + 9 EndFraction?
Answers
Answer:
[tex]A + \frac{B}{x-3} + \frac{C}{(x-3)^{2} }[/tex]
Step-by-step explanation:
First, because the degree of the numerator is the same as the degree of the denominator, this fraction needs simplified further by long division. Upon simplification, the rational expression is [tex]7+\frac{2x-11}{x^2-6x+9}[/tex].
Next, the denominatior needs factored in order to split up the second part of the simplified expression into two different partial fractions. Such factorization yields us, [tex](x-3)^{2}[/tex].
Finally, we have all of our necessary information to set up all of our partial fractions.
This gives us [tex]A + \frac{B}{x-3} + \frac{C}{(x-3)^{2} }[/tex], which is our answer.
Which statement about a rotation is true? A. Rotating a right trapezoid around its vertical axis will form a cone. B. Rotating a square around its vertical axis will form a sphere. C. Rotating a right triangle around its vertical axis will form a cone. D. Rotating a rectangle around its vertical axis will form a sphere.
Answers
Rotating a shape involves moving it in a circular way around its axis
The true statement about the rotation is (c) Rotating a right triangle around its vertical axis will form a cone.
How to determine the rotation?When a two-dimensional shape such as triangles, trapezoid, square, rectangles, etc are rotated about their axes, the new shape formed is a three-dimensional shape
As a general rule, the rotation of a right triangle around its axis would form a cone.
Hence, the true statement about the rotation is (c)
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Answer: C. Rotating a right triangle around its vertical axis will form a cone.
Step-by-step explanation: CORRECT on Plato/Edmentum.
A group of friends were working on a student film that had a budget of $1200. They used 62% of their budget on props. How much money did they spend on props?
Answers
Answer: $804
Step-by-step explanation: 1. Set the equation to x/1200=67/100 2. Cross-multiply so you get 100x=80,400 3. Now divide both sides by 100 to get x=804 which is your final answer 4. Put the dollar sign in front to denote units.